On the Approximation of Nonlinear Systems by Some Simple State-Space Models

作者: M. Fliess , D. Normand-Cyrot

DOI: 10.1016/S1474-6670(17)63040-4

关键词:

摘要: Abstract Interest in Volterra series depends to a great extent on their property approximate non-linear systems. It is shown that continuous-time regular (or bilinear) systems or discrete-time state-affine have similar property.

参考文章(10)
R.W. Brockett, CONVERGENCE OF VOLTERRA SERIES ON INFINITE INTERVALS AND BILINEAR APPROXIMATIONS Nonlinear Systems and Applications#R##N#An International Conference. pp. 39- 46 ,(1977) , 10.1016/B978-0-12-434150-0.50009-6
Michel Fliess, Un Outil Algebrique: Les Series Formelles Non Commutatives Lecture Notes in Economics and Mathematical Systems. pp. 122- 148 ,(1976) , 10.1007/978-3-642-48895-5_9
J. F. BARRETT, The Use of Functionals in the Analysis of Non-linear Physical Systems† International Journal of Electronics. ,vol. 15, pp. 567- 615 ,(1963) , 10.1080/00207216308937611
E. Sontag, Realization theory of discrete-time nonlinear systems: Part I-The bounded case IEEE Transactions on Circuits and Systems. ,vol. 26, pp. 342- 356 ,(1979) , 10.1109/TCS.1979.1084646
M. España, I.D. Landau, Paper: Reduced order bilinear models for distillation columns Automatica. ,vol. 14, pp. 345- 355 ,(1978) , 10.1016/0005-1098(78)90034-1
M. Espana, I. D. Landau, Distillation Columns—A Class of Dynamic Systems With Multiplicative Inputs Journal of Dynamic Systems, Measurement, and Control. ,vol. 101, pp. 58- 63 ,(1979) , 10.1115/1.3426398
Michel Fliess, Vers une approche algébrique des systèmes non linéaires en temps discret Springer, Berlin, Heidelberg. pp. 594- 603 ,(1980) , 10.1007/BFB0004069
Michel Fliess, Fonctionnelles causales non linéaires et indéterminées non commutatives Bulletin de la Société mathématique de France. ,vol. 79, pp. 3- 40 ,(1981) , 10.24033/BSMF.1931
D. Cyrot-Normand, H. Dang Van Mien, Nonlinear State-Affine Identification Methods; Applications to Electrical Power Plants IFAC Proceedings Volumes. ,vol. 13, pp. 449- 462 ,(1980) , 10.1016/S1474-6670(17)64687-1